Definition:monicJacobi

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The LaTeX DLMF and DRMF macro \monicJacobi represents the monic Jacobi polynomial.

This macro is in the category of polynomials.

In math mode, this macro can be called in the following ways:

\monicJacobi{n} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}^{(n,)}_{missing}{}}}}$

\monicJacobi{n}@{x} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}^{(n,@)}_{x}}}}$

\monicJacobi{n}@@{x} produces ${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}^{(n,@)}_{@}{x}}}}$

These are defined by ${\displaystyle{\displaystyle{\displaystyle P^{(\alpha,\beta)}_{n}\left(x\right)=:\frac{{\left(n+\alpha+\beta+1\right)_{n}}}{2^{n}n!}{\widehat{P}}^{(\alpha,\beta)}_{n}\left(x\right)}}}$

Symbols List

${\displaystyle{\displaystyle{\displaystyle{\widehat{P}}^{(\alpha,\beta)}_{n}}}}$ : monic Jacobi polynomial : http://drmf.wmflabs.org/wiki/Definition:monicJacobi
${\displaystyle{\displaystyle{\displaystyle P^{(\alpha,\beta)}_{n}}}}$ : Jacobi polynomial : http://dlmf.nist.gov/18.3#T1.t1.r3
${\displaystyle{\displaystyle{\displaystyle(a)_{n}}}}$ : Pochhammer symbol : http://dlmf.nist.gov/5.2#iii

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